Use a number line to arrange these numbers in order from least to greatest: 2, 19, -11, 6, -5

Points D and E are midpoints of the sides of triangle ABC. The perimeter of the triangle is 48 units.

MatroZZZ [7]

The value of t = 2. Option a) 2 is the correct answer.

Step-by-step explanation:

Perimeter is the sum of three sides of a triangle.

Given that, the points D and E are midpoints of the sides.

Therefore,

side AB= AD+DB

AB= 3t + 3t = 6t

side BC= BE+EC

BC= 4t + 4t = 8t

side AC= 7t+6

Perimeter of the triangle= sum of (side AB+side BC+side AC)

48 = 6t+8t+7t+6

48 = 21t+6

t= 42/21

t= 2

5 0

3 years ago

Read 2 more answers

Solve for x 6 (8X minus 1) equals 9 (x + 2)

Oxana [17]

Answer:

x = $\frac{8}{13}$

Step-by-step explanation:

Given

6(8x - 1) = 9(x + 2) ← distribute parenthesis on both sides

48x - 6 = 9x + 18 ( subtract 9x from both sides )

39x - 6 = 18 ( add 6 to both sides )

39x = 24 ( divide both sides by 39 )

x = $\frac{24}{39}$ = $\frac{8}{13}$

8 0

2 years ago

g red bell pepper seeds germinates 85% of the time. planted 25 seeds. What is the probability that 20 or more germinate

bixtya [17]

Answer:

$P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)$

And replacing using the mass function we got:

$P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156$

$P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211$

$P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217$

$P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161$

$P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759$

$P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172$

And adding the values we got:

$P(X\geq 20) = 0.8381$

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=25, p=0.85)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We want to find the following probability:

$P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)$

And replacing using the mass function we got:

$P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156$

$P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211$

$P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217$

$P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161$

$P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759$

$P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172$

And adding the values we got:

$P(X\geq 20) = 0.8381$

7 0

2 years ago

Please help asap. will mark brainliest

Dmitriy789 [7]

Answer:

he has 300 nickels

Step-by-step explanation:

6 0

2 years ago

The following box plot shows the number of baseball cards that Sam's friends own. Based on the box plot shown, select all the st

laila [671]

Twenty-five percent of his friends have 13 or more baseball cards.

8 0

3 years ago